

A213855


Least m > 0 such that m! * 4^m >= n!.


2



1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 27, 28, 28, 29, 30, 31, 32, 32, 33, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48
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OFFSET

1,3


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000


EXAMPLE

a(5) = 3 because (4^2)*2! < 5! <= (4^3)*3!.


MAPLE

A213855 := proc(n)
for m from 1 do
if (4^m)*m! >= n! then
return m;
end if;
end do:
end proc: # R. J. Mathar, Jul 18 2012


MATHEMATICA

Table[m=1; While[n!>(4^m)*m!, m++]; m, {n, 1, 100}]


CROSSREFS

Cf. A213854.
Sequence in context: A064488 A049472 A125229 * A272206 A122797 A281957
Adjacent sequences: A213852 A213853 A213854 * A213856 A213857 A213858


KEYWORD

nonn,easy,changed


AUTHOR

Clark Kimberling, Jul 17 2012


STATUS

approved



